arXiv Open Access 2022

A recursive function coding number theoretic functions

Vesa Halava Tero Harju Teemu Pirttimäki
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Abstrak

We show that there exists a fixed recursive function $e$ such that for all functions $h\colon \mathbb{N}\to \mathbb{N}$, there exists an injective function $c_h\colon \mathbb{N}\to \mathbb{N}$ such that $c_h(h(n))=e(c_h(n))$, i.e., $h=c_h^{-1}ec_h$.

Topik & Kata Kunci

Penulis (3)

V

Vesa Halava

T

Tero Harju

T

Teemu Pirttimäki

Format Sitasi

Halava, V., Harju, T., Pirttimäki, T. (2022). A recursive function coding number theoretic functions. https://arxiv.org/abs/2203.09311

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Tahun Terbit
2022
Bahasa
en
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arXiv
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Open Access ✓